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Simplifying -38 + x = -4(-4x + 2) Reorder the terms: -38 + x = -4(2 + -4x) -38 + x = (2 * -4 + -4x * -4) -38 + x = (-8 + 16x) Solving -38 + x = -8 + 16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16x' to each side of the equation. -38 + x + -16x = -8 + 16x + -16x Combine like terms: x + -16x = -15x -38 + -15x = -8 + 16x + -16x Combine like terms: 16x + -16x = 0 -38 + -15x = -8 + 0 -38 + -15x = -8 Add '38' to each side of the equation. -38 + 38 + -15x = -8 + 38 Combine like terms: -38 + 38 = 0 0 + -15x = -8 + 38 -15x = -8 + 38 Combine like terms: -8 + 38 = 30 -15x = 30 Divide each side by '-15'. x = -2 Simplifying x = -2
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